一个数论函数方程的可解性  

The Solvability of the Arithmetic Functional Equation

作　　者：王锦瑞[1] 

机构地区：[1]陕西学前师范学院,陕西西安710062

出　　处：《吉林化工学院学报》2013年第3期88-90,共3页Journal of Jilin Institute of Chemical Technology

摘　　要：利用初等数论的理论,结合Smarandache函数S(n)和伪Smarandache函数Z(n)的性质,讨论了一个数论函数方程S(Z(n))=Z(S(n))的可解性,证明了该方程有无穷多个正整数解.The main purpose of this paper is to study the solvability of the equation by using elementary Number Theory and the properties of the Smarandache and the pseudo Smarandaehe functions, prove that the equation has the positive integer solutions.

关 键 词：SMARANDACHE函数 正整数解 素数 WILSON定理 

分 类 号：O156.4[理学—数学]